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Finding the Fourth Proportional to 10,653.68, 15,980.52 and 3,258.14

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Solution

The fourth proportional to 10,653.68, 15,980.52 and 3,258.14 is: 4,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.68 : 15,980.52 = 3,258.14 : x
  2. Step 2: Convert to fraction form
    10,653.68/15,980.52 = 3,258.14/x
  3. Step 3: Cross multiply
    10,653.68x = 15,980.52 × 3,258.14
  4. Step 4: Simplify right side
    10,653.68x = 52,066,771.43
  5. Step 5: Solve for x
    x = 52,066,771.43/10,653.68
  6. Step 6: Final answer
    x = 4,887.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.